The Hamiltonian BVMs (HBVMs) Homepage

Details The Hamiltonian BVMs (HBVMs) Homepage The Hamiltonian BVMs (HBVMs) Homepage

2010-02-14

arxiv.org/abs/1002.2757v3

Mathematics

Numerical Analysis

49 pages, 16 figures; Chapter 4 modified; minor corrections to Chapter 5; References updated

Scientific paper

Hamiltonian Boundary Value Methods (in short, HBVMs) is a new class of numerical methods for the efficient numerical solution of canonical Hamiltonian systems. In particular, their main feature is that of exactly preserving, for the numerical solution, the value of the Hamiltonian function, when the latter is a polynomial of arbitrarily high degree. Clearly, this fact implies a practical conservation of any analytical Hamiltonian function. In this notes, we collect the introductory material on HBVMs contained in the HBVMs Homepage, available at http://web.math.unifi.it/users/brugnano/HBVM/index.html

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